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Question

Question: The standard emf for the cell reaction \(Zn + Cu^{2 +} \rightarrow Cu + Zn^{2 +}\)is 1.1 volt at \(...

The standard emf for the cell reaction

Zn+Cu2+Cu+Zn2+Zn + Cu^{2 +} \rightarrow Cu + Zn^{2 +}is 1.1 volt at 25oC25^{o}C.

The emf for the cell reaction, when 0.1 M Cu2+Cu^{2 +}and 0.1 M Zn2+Zn^{2 +} solution are used, at 25oC25^{o}Cis

A

1.10 V

B

0.10 V

C

–1.10V

D

–0.110 V

Answer

1.10 V

Explanation

Solution

Ecell=Ecell00.0591nlog[Zn2+][Cu2+]E_{cell} = E_{cell}^{0} - \frac{0.0591}{n}\log\frac{\left\lbrack Zn^{2 +} \right\rbrack}{\left\lbrack Cu^{2 +} \right\rbrack}

Ecell=1.100.05912log[0.10.1]\mathbf{E}_{\mathbf{cell}}\mathbf{= 1.10}\mathbf{-}\frac{\mathbf{0.0591}}{\mathbf{2}}\mathbf{\log}\left\lbrack \frac{\mathbf{0.1}}{\mathbf{0.1}} \right\rbrack

Ecell=1.10V(log1=0)\mathbf{E}_{\mathbf{cell}}\mathbf{= 1.10V(}\mathbf{\because}\mathbf{\log}\mathbf{1}\mathbf{= 0)}